Given a one-variable linear equation with rational coefficients and one solution, use equivalent transformations, including distribution and collecting like terms when needed, to obtain x = a and verify the solution by substitution.
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What you’ll learn
Given a one-variable linear equation with rational coefficients and one solution, use equivalent transformations, including distribution and collecting like terms when needed, to obtain x = a and verify the solution by substitution.
Key idea
Apply the same operation to both sides before isolating x.
Worked example
Solve the linear equation with variable terms on both sides.
5x - 3 = 3x + 9
2x = 12
x = 6
Answer: 6
Quick Check
Analyze the proposed student response. Choose Correct or Incorrect.